Grade:6 Unit:4 Week:2Content: Write and Graph Inequalities Dates: 1/28-2/1 Theme Essential Question:How can you use numerical and algebraic expressions, equations, and inequalities to solve real life mathematical problems?
Essential Questions:
Can students write an inequality to represent a situation?
Can students represent the solutions of algebraic inequalities on a number line?
Standards
CC.6.EE.8 Reason about and solve one-variable equations and inequalities.Write an inequality of the form x>c or x<c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Objectives
Students will write algebraic inequalities.
Students will represent solutions of algebraic inequalities on number line diagrams.
Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team (Taken from Ohio Department of Education: http://education.ohio.gov/GD/DocumentManagement/DocumentDownload.aspx?DocumentID=106873) The process of translating between mathematical phrases and symbolic notation will also assist students in the writing of equations/inequalities for a situation. This process should go both ways; Students should be able to write a mathematical phrase for an equation[/inequalities]. Additionally, the writing of equations[/inequalities] from a situation or story does not come naturally for many students. A strategy for assisting with this is to give students an equation[/inequality] and ask them to come up with the situation/story that the equation[/inequality] could be referencing.
Background Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Many real-world situations are represented by inequalities. Students write inequalities to represent real world and mathematical situations. Students use the number line to represent inequalities from various contextual and mathematical situations.
Assessment Product
Key Questions
Observable Student Behaviors
Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.
Vocabulary
Math
Suggested Activities On Core Mathematics
Write Inequalities Lesson 66 p131-132
Graph Inequalities Lesson 67 p133-134
Mastering the Common Core ABC
9.7-9.10 p118-122 single operation only for 9.10
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8
Find Your Match p46
Extend by having students create their own Inequalitiy and graph cards.
Gizmos
None at this time
JBHM
7th GP2 Unit 3 SBIL – 3 Solving and Graphing Inequalities
Glenco
6th 9-4b
7th 4-5 single operation only
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions. Tasks that illustrate content standard 6.EE.8:
Theme Essential Question:How can you use numerical and algebraic expressions, equations, and inequalities to solve real life mathematical problems?
Essential Questions:
Standards
Objectives
Reflections and/or Comments from your PCSSD 6th Grade Curriculum Team
(Taken from Ohio Department of Education: http://education.ohio.gov/GD/DocumentManagement/DocumentDownload.aspx?DocumentID=106873)
The process of translating between mathematical phrases and symbolic notation will also assist students in the writing of equations/inequalities for a situation. This process should go both ways; Students should be able to write a mathematical phrase for an equation[/inequalities]. Additionally, the writing of equations[/inequalities] from a situation or story does not come naturally for many students. A strategy for assisting with this is to give students an equation[/inequality] and ask them to come up with the situation/story that the equation[/inequality] could be referencing.
Background Information
Recommended: For a quick overview of the standard(s) to be addressed in this lesson, see Arizona’s Content Standards Reference Materials.
Assessment
Product
Key Questions
Observable Student Behaviors
1. Make sense of problems and persevere in solving them.
2. Reason abstractly and quantitatively.
3. Construct viable arguments and critique the reasoning of others.
4. Model with mathematics.
5. Use appropriate tools strategically.
6. Attend to precision.
7. Look for and make use of structure.
8. Look for and express regularity in repeated reasoning.
Vocabulary
Suggested Activities
On Core Mathematics
- Write Inequalities Lesson 66 p131-132
- Graph Inequalities Lesson 67 p133-134
Mastering the Common Core ABC- 9.7-9.10 p118-122 single operation only for 9.10
Teaching the Common Core Math Standards with Hands-On Activities Grades 6-8- Find Your Match p46
- Extend by having students create their own Inequalitiy and graph cards.
Gizmos- None at this time
JBHM- 7th GP2 Unit 3 SBIL – 3 Solving and Graphing Inequalities
Glenco- 6th 9-4b
- 7th 4-5 single operation only
Highly Recommended: The Illustrative Mathematics Project offers guidance to states, assessment consortia, testing companies, and curriculum developers by illustrating the range and types of mathematical work that students will experience in a faithful implementation of the Common Core State Standards. The website features a clickable version of the Common Core in mathematics and the first round of "illustrations" of specific standards with associated classroom tasks and solutions.Tasks that illustrate content standard 6.EE.8:
- Fishing Adventure 1 (http://illustrativemathematics.org/illustrations/642)
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